Asymptotically de Sitter dilatonic space-time, holographic RG flow and conformal anomaly from (dilatonic) dS/CFT correspondence

TL;DR

This paper constructs non-singular asymptotically de Sitter solutions in 5d dilatonic gravity, proposes a consistent c-function, and computes the holographic conformal anomaly, supporting the dS/CFT correspondence.

Contribution

It introduces new asymptotically de Sitter solutions in 5d dilatonic gravity and extends holographic RG flow and anomaly calculations to this setting.

Findings

Found non-singular asymptotically de Sitter solutions.

Proposed a consistent c-function for dS/CFT.

Calculated the holographic conformal anomaly, matching AdS/CFT results.

Abstract

The number of asymptotically de Sitter (non-singular) solutions of 5d dilatonic gravity with positive cosmological constant is found. These solutions are similar to the previously known asymptotically AdS spaces where dilaton may generate the singularity. Using these solutions the consistent $c$-function is proposed in the same way as in AdS/CFT. The consistency of RG flow gives further support for dS/CFT correspondence. From holographic RG flow equations we calculate the holographic 4d conformal anomaly with dilatonic contributions. This conformal anomaly turns out to be the same as in AdS/CFT correspondence.